Persons: Lotov, Alexander Vladimirovich

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Lotov, Alexander Vladimirovich

Professor

Doctor of physico-mathematical sciences (1986)

Speciality:

01.01.09 (Discrete mathematics and mathematical cybernetics)

Birth date:

12.04.1946

E-mail:

Keywords:

multicriterion optomization, approximation of multi-dimensional bodies, differential inclusions.

UDC:

517.977.55, 519, 519.858, 519.658, 519.626

MSC:

90B50, 90C29

Subject:

multi-objective optimization, reachable sets of dynamic systems, approximation of multi-dimensional sets.

Main publications:

Ju.P. Ivanilov, A.V. Lotov, Mathematical Models in Economics, Nauka, Moscow, 1979
A.V. Lotov, V.A. Bushenkov, G.K.Kamenev, O.L. Chernykh, Computer and Tradeoff Search. Feasible Goals Method, Cybernetics, Nauka, Moscow, 1997
A.V. Lotov, V.A. Bushenkov, G.K. Kamenev, Interactive Decision Maps. Approximation and Visualization of the Pareto Frontier, Applied Optimization, 89, Kluwer Academic Publishers, Boston, 2004
A.V. Lotov, I.I. Pospelova, Multi-objective decision problems, Maks Press, Moscow, 2008
A.Lotov, “An estimate of solution set perturbations for a system of linear inequalities”, Optimization Methods and Software, 6:1 (1995), 1–24

https://www.mathnet.ru/eng/person17835

https://ru.wikipedia.org/wiki/Lotov,_Aleksandr_Vladimirovich

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/216384

https://elibrary.ru/author_items.asp?authorid=1906

https://orcid.org/0000-0002-6531-3644

https://www.scopus.com/authid/detail.url?authorId=7004026966

https://www.researchgate.net/profile/Alexander-Lotov

	Publications in Math-Net.Ru	Citations
	2022
1.	A. V. Lotov, A. I. Ryabikov, M. V. Bolgov, A. L. Buber, “Application of Pareto frontier in searching for compromise rules of Baikal lake level control”, Artificial Intelligence and Decision Making, 2022, no. 3, 72–87 ; Scientific and Technical Information Processing, 50:6 (2023), 582–594
	2021
2.	A. V. Lotov, A. I. Ryabikov, “Extended launch pad method for the Pareto frontier approximation in multiextremal multiobjective optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 61:10 (2021), 1734–1744 ; Comput. Math. Math. Phys., 61:10 (2021), 1700–1710	4
	2019
3.	A. V. Lotov, A. I. Ryabikov, “Launch pad method in multiextremal multiobjective optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019), 2111–2128 ; Comput. Math. Math. Phys., 59:12 (2019), 2041–2056	4
4.	A. V. Lotov, A. I. Ryabikov, “Simple efficient hybridization of classic global optimization and genetic algorithms for multiobjective optimization”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1666–1680 ; Comput. Math. Math. Phys., 59:10 (2019), 1613–1625	5
	2018
5.	A. V. Lotov, A. I. Ryabikov, A. L. Buber, “Multi-criteria decision making procedure with an inherited set of starting points of local optimization of scalar functions of criteria”, Artificial Intelligence and Decision Making, 2018, no. 3, 100–111 ; Scientific and Technical Information Processing, 46:5 (2019), 328–336	3
6.	A. V. Lotov, “New external estimate for the reachable set of a nonlinear multistep dynamic system”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 209–219 ; Comput. Math. Math. Phys., 58:2 (2018), 196–206	2
	2017
7.	M. V. Bolgov, A. L. Buber, A. V. Lotov, “Decision support for strategic decision making on water supply of the Lower Volga River based on Pareto frontier visualization”, Artificial Intelligence and Decision Making, 2017, no. 1, 84–97 ; Scientific and Technical Information Processing, 45:5 (2018), 297–306	3
	2015
8.	A. V. Lotov, “Decomposition of the problem of approximating the Edgeworth–Pareto hull”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1681–1693 ; Comput. Math. Math. Phys., 55:10 (2015), 1653–1664	7
	2014
9.	A. V. Lotov, A. I. Ryabikov, “Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014), 187–203	5
10.	V. E. Berezkin, A. V. Lotov, “Comparison of two Pareto frontier approximations”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1455–1464 ; Comput. Math. Math. Phys., 54:9 (2014), 1402–1410	9
11.	V. E. Berezkin, A. V. Lotov, E. A. Lotova, “Study of hybrid methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 905–918 ; Comput. Math. Math. Phys., 54:6 (2014), 919–930	8
	2013
12.	A. V. Lotov, A. I. Ryabikov, A. L. Buber, “Pareto frontier visualization in the development of hydropowerplant release rules”, Artificial Intelligence and Decision Making, 2013, no. 1, 70–83 ; Scientific and Technical Information Processing, 41:5 (2014), 314–324	5
13.	G. K. Kamenev, A. V. Lotov, T. S. Mayskaya, “Iterative method for constructing coverings of the multidimensional unit sphere”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 181–194 ; Comput. Math. Math. Phys., 53:2 (2013), 131–143	10
	2012
14.	A. V. Lotov, T. S. Maiskaya, “Nonadaptive methods for polyhedral approximation of the Edgeworth–Pareto hull using suboptimal coverings on the direction sphere”, Zh. Vychisl. Mat. Mat. Fiz., 52:1 (2012), 35–47 ; Comput. Math. Math. Phys., 52:1 (2012), 31–42	5
	2010
15.	A. V. Lotov, A. V. Kholmov, “Reasonable goals method in multi-objective stochastic choice problem”, Artificial Intelligence and Decision Making, 2010, no. 3, 79–88
	2008
16.	N. B. Brusnikina, A. V. Lotov, “Visualization of the moving Pareto frontier in DSS”, Artificial Intelligence and Decision Making, 2008, no. 3, 28–40 ; Scientific and Technical Information Processing, 38:5 (2011), 322–331
17.	A. V. Lotov, A. I. Pospelov, “The modified method of refined bounds for polyhedral approximation of convex polytopes”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 990–998 ; Comput. Math. Math. Phys., 48:6 (2008), 933–941	11
	2007
18.	N. B. Brusnikina, A. V. Lotov, “Guaranteed-accuracy approximation of reachable sets for a linear dynamic system subject to impulse actions”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1855–1864 ; Comput. Math. Math. Phys., 47:11 (2007), 1779–1787	4
	2006
19.	V. E. Berezkin, G. K. Kamenev, A. V. Lotov, “Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006), 2009–2023 ; Comput. Math. Math. Phys., 46:11 (2006), 1918–1931	38
	1994
20.	V. A. Bushenkov, D. V. Gusev, G. K. Kamenev, A. V. Lotov, O. L. Chernykh, “Visualization of the Pareto set in the choice multidimensional problem”, Dokl. Akad. Nauk, 335:5 (1994), 567–569	5
	1990
21.	D. L. Kondratiev, A. V. Lotov, “External estimates and construction of attainability sets for controlled systems”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990), 483–490 ; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 93–97	7
	1986
22.	A. V. Lotov, “Estimate of the effect of round-off errors on the accuracy of elimination of variables in systems of linear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986), 323–331 ; U.S.S.R. Comput. Math. Math. Phys., 26:2 (1986), 1–6	1
	1985
23.	A. V. Lotov, “Stability and approximation of generalized attainability sets”, Dokl. Akad. Nauk SSSR, 284:1 (1985), 66–69
24.	A. V. Lotov, “Estimation of the stability of the solution set of systems of linear equalities and inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985), 451–455 ; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 83–86
	1984
25.	A. V. Lotov, “Estimation of stability and the conditioning number of the set of solutions of a system of linear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 24:12 (1984), 1763–1774 ; U.S.S.R. Comput. Math. Math. Phys., 24:6 (1984), 104–111	3
	1982
26.	A. V. Lotov, “Aggregation as an approximation of generalized reachable sets”, Dokl. Akad. Nauk SSSR, 265:6 (1982), 1334–1337	1
	1981
27.	A. V. Lotov, “On the concept and construction of generalized accessibility sets for linear controllable systems described by partial differential equations”, Dokl. Akad. Nauk SSSR, 261:2 (1981), 297–300
	1980
28.	A. V. Lotov, “On the concept of generalized sets of accessibility and their construction for linear controlled systems”, Dokl. Akad. Nauk SSSR, 250:5 (1980), 1081–1083	13
29.	V. A. Bushenkov, A. V. Lotov, “Methods and algorithms for analysis of linear systems of the construction of generalized attainability sets”, Zh. Vychisl. Mat. Mat. Fiz., 20:5 (1980), 1130–1141 ; U.S.S.R. Comput. Math. Math. Phys., 20:5 (1980), 38–49	14
30.	V. A. Bushenkov, A. V. Lotov, “An algorithm for analyzing the independence of inequalities in a linear system”, Zh. Vychisl. Mat. Mat. Fiz., 20:3 (1980), 562–572 ; U.S.S.R. Comput. Math. Math. Phys., 20:3 (1980), 14–24	5
	1979
31.	A. V. Lotov, “Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 44–55 ; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 44–56	3
	1978
32.	A. V. Lotov, “Uniform approximation of the attainability set for a differential system by attainability sets for its multistep analogues”, Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978), 233–235 ; U.S.S.R. Comput. Math. Math. Phys., 18:1 (1978), 226–229	1
	1975
33.	A. V. Lotov, “A numerical method for constructing sets of attainability for linear controlled systems with phase constraints”, Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975), 67–78 ; U.S.S.R. Comput. Math. Math. Phys., 15:1 (1975), 63–74	26
	1973
34.	A. V. Lotov, “A numerical method of investigation of the continuity of the minimal time in linear systems, and a solution of the Cauchy problem for Bellman's equation”, Zh. Vychisl. Mat. Mat. Fiz., 13:5 (1973), 1315–1319 ; U.S.S.R. Comput. Math. Math. Phys., 13:5 (1973), 265–271	4
	1972
35.	A. V. Lotov, “A numerical method of solving the Cauchy problem for the Bellman equation in the time-optimality problem for a linear system”, Zh. Vychisl. Mat. Mat. Fiz., 12:4 (1972), 1035–1037 ; U.S.S.R. Comput. Math. Math. Phys., 12:4 (1972), 240–244	1
36.	A. V. Lotov, “Numerical method of constructing attainability sets for a linear control system”, Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972), 785–788 ; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 279–283	7

	1986
37.	A. V. Lotov, “Correction: “Estimation of stability and the conditioning number of the set of solutions of a system of linear inequalities””, Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986), 962

Presentations in Math-Net.Ru

1.	Принятие решений в экологических проблемах A. V. Lotov Scientific conference "Modeling the Co-evolution of Nature and Society: problems and experience" devoted to the 100-th anniversary of N. N. Moiseev November 7, 2017 17:00
2.	Компьютерная поддержка выбора стратегических эколого-экономических решений с использованием визуализации границы Парето A. V. Lotov International Conference on Applied Mathematics and Computer Science dedicated to the 60th Anniversary of Dorodnicyn Computing Centre of RAS December 9, 2015 15:50
3.	Визуализация границы Парето в задачах поиска сбалансированных экологических решений A. V. Lotov VIII Всероссийская научная конференция с международным участием «Математическое моделирование развивающейся экономики, экологии и технологий (ЭКОМОД-2014)», посвященная 80-летию академика А. А. Петрова (1934–2011) и 100-летию академика Г. С. Поспелова (1914–1998). October 23, 2014 10:00
4.	Выступления с воспоминаниями об академике А. А. Петрове A. V. Lotov VIII Всероссийская научная конференция с международным участием «Математическое моделирование развивающейся экономики, экологии и технологий (ЭКОМОД-2014)», посвященная 80-летию академика А. А. Петрова (1934–2011) и 100-летию академика Г. С. Поспелова (1914–1998). October 21, 2014 11:45
5.	Научное наследие академика А. А. Петрова I. G. Pospelov, A. V. Lotov, A. A. Shananin VIII Всероссийская научная конференция с международным участием «Математическое моделирование развивающейся экономики, экологии и технологий (ЭКОМОД-2014)», посвященная 80-летию академика А. А. Петрова (1934–2011) и 100-летию академика Г. С. Поспелова (1914–1998). October 21, 2014 11:05
6.	Визуализация границы Парето в задачах многокритериальной оптимизации. Часть 2 A. V. Lotov Mathematical Seminar March 5, 2013 18:30
7.	Визуализация границы Парето в задачах многокритериальной оптимизации. Часть 1 A. V. Lotov Mathematical Seminar February 26, 2013 18:30

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